High-activity perturbation expansion for the hard square lattice gas

Ramola, Kabir ; Dhar, Deepak (2012) High-activity perturbation expansion for the hard square lattice gas Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 86 (3). Article ID 031135. ISSN 1539-3755

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Official URL: https://journals.aps.org/pre/abstract/10.1103/Phys...

Related URL: http://dx.doi.org/10.1103/PhysRevE.86.031135


We study a system of particles with nearest- and next-nearest-neighbor exclusion on the square lattice (hard squares). This system undergoes a transition from a fluid phase at low density to a columnar-ordered phase at high density. We develop a systematic high-activity perturbation expansion for the free energy per site about a state with perfect columnar order. We show that the different terms of the series can be regrouped to get a Mayer-like series for a polydisperse system of interacting vertical rods in which the nth term is of order z−(n+1)/2, where z is the fugacity associated with each particle. We sum this series to get the exact expansion to order 1/z3/2.

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ID Code:112292
Deposited On:31 Jan 2018 04:29
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